Dynamical phase transitions after quenches in nonintegrable models

被引:189
|
作者
Karrasch, C. [1 ,2 ]
Schuricht, D. [3 ,4 ]
机构
[1] Univ Calif Berkeley, Dept Phys, Berkeley, CA 95720 USA
[2] Univ Calif Berkeley, Lawrence Berkeley Natl Lab, Div Mat Sci, Berkeley, CA 94720 USA
[3] Rhein Westfal TH Aachen, Inst Theory Stat Phys, D-52056 Aachen, Germany
[4] JARA Fundamentals Future Informat Technol, D-52056 Aachen, Germany
来源
PHYSICAL REVIEW B | 2013年 / 87卷 / 19期
关键词
DENSITY-MATRIX RENORMALIZATION; MAGNETIC-FIELD; ANNNI MODEL; ISING-MODEL; STATES; ENERGY;
D O I
10.1103/PhysRevB.87.195104
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We investigate the dynamics following sudden quenches across quantum critical points belonging to different universality classes. Specifically, we use matrix product state methods to study the quantum Ising chain in the presence of two additional terms which break integrability. We find that in all models the rate function for the return probability to the initial state becomes a nonanalytic function of time in the thermodynamic limit. This so-called "dynamical phase transition" was first observed in a recent work by Heyl, Polkovnikov, and Kehrein [Phys. Rev. Lett. 110, 135704 (2013)] for the exactly-solvable quantum Ising chain, which can be mapped to free fermions. Our results for "interacting theories" indicate that nonanalytic dynamics is a generic feature of sudden quenches across quantum critical points. We discuss potential connections to the dynamics of the order parameter.
引用
收藏
页数:8
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